There was only one definition of natural born Citizen at the time the Constitution was written, and that was found in Vattel's Law of Nations.
Founder and Historian David Ramsay Defines Natural Born Citizen in 1789 forty years before the leftist Pennsylvanian Quaker and abolitionist William Rawles opined on the subject.
While I might agree with you that the Vattel concept was what the Framers had in mind, you are either dreaming or ignorant of the other usage examples including ones in England and in the Colonies. Any court could reasonably decide this issue however they wanted to decide it.
ML/NJ